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Finding the Fourth Proportional to 15,838.74, 23,760.81 and 5,979.42

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Solution

The fourth proportional to 15,838.74, 23,760.81 and 5,979.42 is: 8,970.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.74 : 23,760.81 = 5,979.42 : x
  2. Step 2: Convert to fraction form
    15,838.74/23,760.81 = 5,979.42/x
  3. Step 3: Cross multiply
    15,838.74x = 23,760.81 × 5,979.42
  4. Step 4: Simplify right side
    15,838.74x = 142,075,862.53
  5. Step 5: Solve for x
    x = 142,075,862.53/15,838.74
  6. Step 6: Final answer
    x = 8,970.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.